MinT - Information on Result #2644481

Information on Result #2644481

Linear OOA(8¹²³, 42, F₈, 3, 115) (dual of [(42, 3), 3, 116]-NRT-code), using strength reduction based on linear OOA(8¹²³, 42, F₈, 3, 116) (dual of [(42, 3), 3, 117]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(8³⁹, 14, F₈, 3, 38) (dual of [(14, 3), 3, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,3P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
  - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.